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5765144 = 237311191
BaseRepresentation
bin10101111111100000011000
3101211220021212
4111333200120
52433441034
6323322252
7100001000
oct25774030
911756255
105765144
113288490
121b20388
13126b138
14aa1000
1578d2ce
hex57f818

5765144 has 64 divisors (see below), whose sum is σ = 13824000. Its totient is φ = 2234400.

The previous prime is 5765143. The next prime is 5765167. The reversal of 5765144 is 4415675.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5765144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5765143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30089 + ... + 30279.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 25765144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5765144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912000).

5765144 is an abundant number, since it is smaller than the sum of its proper divisors (8058856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5765144 is a wasteful number, since it uses less digits than its factorization.

5765144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 5765144 is about 2401.0714275090. The cubic root of 5765144 is about 179.3095358972.

The spelling of 5765144 in words is "five million, seven hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 191 196 308 343 382 392 539 616 686 764 1078 1337 1372 1528 2101 2156 2674 2744 3773 4202 4312 5348 7546 8404 9359 10696 14707 15092 16808 18718 29414 30184 37436 58828 65513 74872 102949 117656 131026 205898 262052 411796 524104 720643 823592 1441286 2882572 5765144